Question

Aziza has a triangle with two sides measuring 11 in. And 15 in. She claims that the third side can be any length as long as it is greater than 4 in. Which statement about Aziza's claim is correct?

Answer 1

Aziza’s claim is not correct. The third side must be between 4 in. and 26 in.

Explanation:

Answer 2

The third side can be any length as long as it is greater than 4 in and less than 26 in

Explanation:

we know that

The Triangle Inequality Theorem, states that The sum of the lengths of any two sides of a triangle is greater than the length of the third side

Let

x ----> the length of the third side

Applying the triangle inequality theorem

1) 11+15 > x

26 > x

rewrite

x < 26 in

2) 11+x > 15

x> 15-11

x > 4 in

therefore

Aziza's claim is incomplete

The third side can be any length as long as it is greater than 4 in and less than 26 in